ABSTRACT

Quantities v1, v2, r1, r2, E1, and E2 refer to the Poisson ratios, radii, and Young’s moduli of the components in contact, i.e., a roller and the outer race or a roller and the inner race. Since the trios of quantities v1, r1, E1 and v2, r2, E2 enter symmetrically into the expression for a, either trio may be associated with a roller and the other trio associated with the inner race. Coordinates x and z lie in the circumferential and radial directions, respectively, and quantity a represents the half-width of the contact area measured in the circumferential direction, hence the inclusion of F in the definition of a. Loading force per unit length in the axial direction between a race and a roller is denoted by F. One misprint and one apparent misprint have been corrected by the author in reproducing equations 4 and 12 in Ref. 4 in the preceding set of equations.